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Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic. / Lytkina, D. V.; Shlepkin, A. A.
в: Siberian Advances in Mathematics, Том 28, № 3, 01.07.2018, стр. 175-186.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Periodic Groups Saturated with the Linear Groups of Degree 2 and the Unitary Groups of Degree 3 over Finite Fields of Odd Characteristic
AU - Lytkina, D. V.
AU - Shlepkin, A. A.
PY - 2018/7/1
Y1 - 2018/7/1
N2 - Let M denote the set of the simple 3-dimensional unitary groups U3 and the simple linear groups L2 over finite fields of odd characteristic.We prove that each periodic group saturated with groups in M is locally finite and isomorphic to either U3(Q) or L2(Q) for a suitable locally finite field Q of odd characteristic.
AB - Let M denote the set of the simple 3-dimensional unitary groups U3 and the simple linear groups L2 over finite fields of odd characteristic.We prove that each periodic group saturated with groups in M is locally finite and isomorphic to either U3(Q) or L2(Q) for a suitable locally finite field Q of odd characteristic.
KW - group saturated with a set of groups
KW - periodic group
UR - http://www.scopus.com/inward/record.url?scp=85052116403&partnerID=8YFLogxK
U2 - 10.3103/S1055134418030033
DO - 10.3103/S1055134418030033
M3 - Article
AN - SCOPUS:85052116403
VL - 28
SP - 175
EP - 186
JO - Siberian Advances in Mathematics
JF - Siberian Advances in Mathematics
SN - 1055-1344
IS - 3
ER -
ID: 16266133